Tadahiro Oh

发表

Modulation spaces, Wiener amalgam spaces, and Brownian motions

'Arp'ad B'enyi, Tadahiro Oh, 2010, 1007.1957.

STOCHASTIC NONLINEAR SCHRÖDINGER EQUATION WITH ALMOST SPACE–TIME WHITE NOISE

Tadahiro Oh, Justin Forlano, Yuzhao Wang, 2018, Journal of the Australian Mathematical Society.

On the Probabilistic Cauchy Theory for Nonlinear Dispersive PDEs

'Arp'ad B'enyi, Tadahiro Oh, Oana Pocovnicu, 2018, Landscapes of Time-Frequency Analysis.

A pedestrian approach to the invariant Gibbs measures for the 2-d defocusing nonlinear Schrödinger equations

Tadahiro Oh, Laurent Thomann, 2015, Stochastics and Partial Differential Equations: Analysis and Computations.

Renormalization of the two-dimensional stochastic nonlinear wave equations

M. Gubinelli, Tadahiro Oh, H. Koch, 2017, Transactions of the American Mathematical Society.

WIENER RANDOMIZATION ON UNBOUNDED DOMAINS AND AN APPLICATION TO ALMOST SURE WELL-POSEDNESS OF NLS

'Arp'ad B'enyi, Tadahiro Oh, Oana Pocovnicu, 2014, 1405.7326.

On the Probabilistic Cauchy Theory of the Cubic Nonlinear Schrödinger Equation on Rd, d≥3

Á. Bényi, 'Arp'ad B'enyi, Tadahiro Oh, 2014, 1405.7327.

On invariant Gibbs measures for the generalized KdV equations

Tadahiro Oh, Laurent Thomann, G. Richards, 2015, 1509.06873.

Invariant Gibbs measures for the 2-d defocusing nonlinear Schrödinger equations

Tadahiro Oh, Laurent Thomann, 2015 .

On the Cameron–Martin theorem and almost-sure global existence

J. Quastel, Tadahiro Oh, 2014, Proceedings of the Edinburgh Mathematical Society.

On the probabilistic Cauchy theory of the cubic nonlinear Schr\"odinger equation on $\mathbb R^d$, $d \geq 3$

'Arp'ad B'enyi, Tadahiro Oh, Oana Pocovnicu, 2014, 1405.7327.

INVARIANT WEIGHTED WIENER MEASURES AND ALMOST SURE GLOBAL WELL-POSEDNESS FOR THE PERIODIC DERIVATIVE NLS.

L. Rey-Bellet, G. Staffilani, A. Nahmod, 2010, 1007.1502.

Remarks on nonlinear smoothing under randomization for the periodic KdV and the cubic Szegö equation

Tadahiro Oh, 2010, 1007.2074.

Almost sure well-posedness of the cubic nonlinear Schr\

J. Colliander, Tadahiro Oh, 2009, 0904.2820.

Invariant Gibbs measures and a.s. global well posedness for coupled KdV systems

Tadahiro Oh, 2009, Differential and Integral Equations.

Periodic stochastic Korteweg–de Vries equation with additive space-time white noise

Tadahiro Oh, 2009 .

Invariance of the White Noise for KdV

Tadahiro Oh, 2009, 0904.2818.

On the probabilistic well-posedness of the nonlinear Schrödinger equations with non-algebraic nonlinearities

Tadahiro Oh, Oana Pocovnicu, Mamoru Okamoto, 2017, Discrete & Continuous Dynamical Systems - A.

MIGSAA advanced Ph.D. course Singular stochastic dispersive PDEs

Tadahiro Oh, Spring, 2021 .

Probabilistic local Cauchy theory of the cubic nonlinear wave equation in negative Sobolev spaces

N. Tzvetkov, Tadahiro Oh, Oana Pocovnicu, 2022, Annales de l'Institut Fourier.

Global Dynamics for the Two-dimensional Stochastic Nonlinear Wave Equations

Herbert Koch, Massimiliano Gubinelli, Tadahiro Oh, 2020, International Mathematics Research Notices.

Uniqueness and non-uniqueness of the Gaussian free field evolution under the two-dimensional Wick ordered cubic wave equation

N. Tzvetkov, Tadahiro Oh, Mamoru Okamoto, 2022, 2206.00728.

Probabilistic global well-posedness for a viscous nonlinear wave equation modeling fluid–structure interaction

S. Čanić, Jeffrey Kuan, Tadahiro Oh, 2021, Applicable Analysis.

Three-dimensional stochastic cubic nonlinear wave equation with almost space-time white noise

Tadahiro Oh, Yuzhao Wang, Younes Zine, 2021, Stochastics and Partial Differential Equations: Analysis and Computations.

On the two-dimensional singular stochastic viscous nonlinear wave equations

Tadahiro Oh, Ruoyuan Liu, 2021, Comptes Rendus. Mathématique.

Stochastic nonlinear wave dynamics on compact surfaces

N. Tzvetkov, Tadahiro Oh, T. Robert, 2019, Annales Henri Lebesgue.

Sharp local well-posedness of the two-dimensional periodic nonlinear Schr\"odinger equation with a quadratic nonlinearity $|u|^2$

Tadahiro Oh, Ruoyuan Liu, 2022, 2203.15389.

Non-existence of solutions for the periodic cubic NLS below $L^2$

Zihua Guo, Tadahiro Oh, 2015, 1510.06208.

A remark on normal forms and the “upside-down” I-method for periodic NLS: Growth of higher Sobolev norms

J. Colliander, Tadahiro Oh, Soonsik Kwon, 2010, 1010.2501.

Three-dimensional stochastic cubic nonlinear wave equation with almost space-time white noise

Tadahiro Oh, Younes Zine, Yuzhao Wang, 2021, Stochastics and Partial Differential Equations: Analysis and Computations.

On the stochastic nonlinear Schrödinger equations with nonsmooth additive noise

Tadahiro Oh, Yuzhao Wang, Oana Pocovnicu, 2020 .

On the stochastic nonlinear Schr\"odinger equations with non-smooth additive noise.

Tadahiro Oh, Yuzhao Wang, Oana Pocovnicu, 2018, 1805.08412.

Hyperbolic $P(\Phi)_2$-model on the plane

Tadahiro Oh, Yuzhao Wang, Guangqu Zheng, 2022, 2211.03735.

On the deep-water and shallow-water limits of the intermediate long wave equation from a statistical viewpoint

Tadahiro Oh, Guangqu Zheng, Guopeng Li, 2022, 2211.03243.

A note on products of stochastic objects

Tadahiro Oh, Younes Zine, 2022, 2211.02938.

Hyperbolic $P(\Phi)_2$-model on the plane

Tadahiro Oh, Yuzhao Wang, Guangqu Zheng, 2022, 2211.03735.

MIGSAA Extended Project Fourier Restriction Norm Method

Razvan O. Mosincat, Tadahiro Oh, Andreia Chapouto, 2018 .

Smoothing of Commutators for a Hörmander Class of Bilinear Pseudodifferential Operators

Á. Bényi, Tadahiro Oh, 2013, Journal of Fourier Analysis and Applications.

Quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation

N. Tzvetkov, Tadahiro Oh, 2015, Probability theory and related fields.

Norm inflation for the cubic nonlinear heat equation above the scaling critical regularity

I. Chevyrev, Tadahiro Oh, Yuzhao Wang, 2022, 2205.14488.

WHITE NOISE FOR KDV AND MKDV ON THE CIRCLE (Harmonic Analysis and Nonlinear Partial Differential Equations)

Tadahiro Oh, 2010, 1007.1954.

Séminaire Laurent Schwartz — EDP et applications

N. Tzvetkov, Tadahiro Oh, Nikolay Tzvetkov, 2016 .

Global well-posedness of the Gross--Pitaevskii and cubic-quintic nonlinear Schr\"odinger equations with non-vanishing boundary conditions

Monica Visan, Tadahiro Oh, Rowan Killip, 2011, 1112.1354.

Diophantine Conditions in Well-Posedness Theory of Coupled KdV-Type Systems: Local Theory

Tadahiro Oh, 2009, 0904.2813.

Diophantine conditions in global well-posedness of coupled KdV-type systems

Tadahiro Oh, Tadahiro Oh, 2009 .

On global well-posedness of the modified KdV equation in modulation spaces

Tadahiro Oh, Yuzhao Wang, 2018, Discrete & Continuous Dynamical Systems.

Global well-posedness of the one-dimensional cubic nonlinear Schrödinger equation in almost critical spaces

Tadahiro Oh, Yuzhao Wang, 2018, Journal of Differential Equations.

A remark on Gibbs measures with log-correlated Gaussian fields

Tadahiro Oh, L. Tolomeo, Kihoon Seong, 2020, 2012.06729.

Paracontrolled approach to the three-dimensional stochastic nonlinear wave equation with quadratic nonlinearity

M. Gubinelli, Tadahiro Oh, H. Koch, 2018, Journal of the European Mathematical Society.

A remark on global well-posedness of the derivative nonlinear Schrödinger equation on the circle

Razvan O. Mosincat, Tadahiro Oh, 2015, 1502.02261.

Optimal integrability threshold for Gibbs measures associated with focusing NLS on the torus

Tadahiro Oh, Leonardo Tolomeo, Philippe Sosoe, 2017, Inventiones mathematicae.

Probabilistic global well-posedness of the energy-critical defocusing quintic nonlinear wave equation on $\mathbb{R}^3$

Tadahiro Oh, Oana Pocovnicu, 2015, 1502.00575.

Normal form approach to unconditional well-posedness of nonlinear dispersive PDEs on the real line

Tadahiro Oh, Soonsik Kwon, Haewon Yoon, 2018, 1805.08410.

On unconditional well-posedness of modified KdV

Tadahiro Oh, Soonsik Kwon, 2010, 1007.0270.

Linear and bilinear $T(b)$ theorems \`a la Stein

'Arp'ad B'enyi, Tadahiro Oh, 2015, 1502.02260.

The Sobolev inequality on the torus revisited

Á. Bényi, Tadahiro Oh, 2013 .

Smoothing of commutators for a H\"ormander class of bilinear pseudodifferential operators

Á. Bényi, 'Arp'ad B'enyi, Tadahiro Oh, 2013, 1305.4307.

Higher order expansions for the probabilistic local Cauchy theory of the cubic nonlinear Schrödinger equation on ℝ³

'Arp'ad B'enyi, Tadahiro Oh, Oana Pocovnicu, 2017, Transactions of the American Mathematical Society, Series B.

Solitons and Scattering for the Cubic–Quintic Nonlinear Schrödinger Equation on R3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin

Tadahiro Oh, Oana Pocovnicu, R. Killip, 2017, Archive for Rational Mechanics and Analysis.

Almost conservation laws for stochastic nonlinear Schrödinger equations

Tadahiro Oh, Guopeng Li, Kelvin Cheung, 2019, Journal of Evolution Equations.

On the stochastic nonlinear Schrödinger equations at critical regularities

Tadahiro Oh, Mamoru Okamoto, 2020, Stochastics and Partial Differential Equations: Analysis and Computations.

On the stochastic nonlinear Schrödinger equations at critical regularities

Tadahiro Oh, Mamoru Okamoto, 2019, Stochastics and Partial Differential Equations: Analysis and Computations.

Quasi-invariant Gaussian measures for the nonlinear wave equation in three dimensions

H. Weber, N. Tzvetkov, Tadahiro Oh, 2018, Probability and Mathematical Physics.

Quasi-invariant Gaussian measures for the cubic nonlinear Schrödinger equation with third-order dispersion

N. Tzvetkov, Y. Tsutsumi, Tadahiro Oh, 2018, Comptes Rendus Mathematique.

A remark on norm inflation with general initial data for the cubic nonlinear Schr\"odinger equations in negative Sobolev spaces

Tadahiro Oh, 2015, 1509.08143.

On the ill-posedness of the cubic nonlinear Schr\"odinger equation on the circle

Tadahiro Oh, Yuzhao Wang, 2015, 1508.00827.

Strichartz estimates for Schrödinger equations on irrational tori

Zihua Guo, Tadahiro Oh, Yuzhao Wang, 2013, 1306.4973.

Poincaré-Dulac Normal Form Reduction for Unconditional Well-Posedness of the Periodic Cubic NLS

Zihua Guo, Tadahiro Oh, Soonsik Kwon, 2011, 1103.5271.

MODULATION SPACES, WIENER AMALGAM SPACES, AND

Tadahiro Oh, Brownian Motions, 2010 .

Normal form approach to global well-posedness of the quadratic derivative nonlinear Schr\"odinger equation on the circle

Zihua Guo, Tadahiro Oh, Jaywan Chung, 2015, 1509.08139.

Global Dynamics for the Two-dimensional Stochastic Nonlinear Wave Equations

M. Gubinelli, Tadahiro Oh, H. Koch, 2020, International Mathematics Research Notices.

Stochastic quantization of Liouville conformal field theory

N. Tzvetkov, Tadahiro Oh, Yuzhao Wang, 2020, 2004.04194.

Normal form approach to the one-dimensional periodic cubic nonlinear Schrödinger equation in almost critical Fourier-Lebesgue spaces

Tadahiro Oh, Yuzhao Wang, 2021, Journal d'Analyse Mathématique.

Normal form approach to the one-dimensional periodic cubic nonlinear Schrödinger equation in almost critical Fourier-Lebesgue spaces

Tadahiro Oh, Yuzhao Wang, 2018, Journal d'Analyse Mathématique.

Tadahiro Oh, Oana Pocovnicu, R. Killip, 2014, Archive for Rational Mechanics and Analysis.

On the one-dimensional cubic nonlinear Schrodinger equation below L^2

C. Sulem, Tadahiro Oh, 2010, 1007.2073.

Behavior of a Model Dynamical System with Applications to Weak Turbulence

Jeremy Louis Marzuola, Gideon Simpson, Tadahiro Oh, 2012, Exp. Math..

A remark on normal forms and the “upside-down” I-method for periodic NLS: Growth of higher Sobolev norms

J. Colliander, Tadahiro Oh, Soonsik Kwon, 2012, Journal d'Analyse Mathématique.

On Nonlinear Schrödinger Equations with Almost Periodic Initial Data

Tadahiro Oh, Tadahiro Oh, 2014, SIAM J. Math. Anal..

Global existence for the defocusing nonlinear Schr\"odinger equations with limit periodic initial data

Tadahiro Oh, Tadahiro Oh, 2014, 1502.02258.

On the Parabolic and Hyperbolic Liouville Equations

Tadahiro Oh, Tristan Robert, Yuzhao Wang, 2019, Communications in Mathematical Physics.

On invariant Gibbs measures conditioned on mass and momentum

J. Quastel, Tadahiro Oh, 2010, 1012.3432.

Quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schr\"odinger equation in negative Sobolev spaces.

Tadahiro Oh, Kihoon Seong, 2020, 2012.06732.

GLOBAL WELL-POSEDNESS OF THE PERIODIC CUBIC FOURTH ORDER NLS IN NEGATIVE SOBOLEV SPACES

Tadahiro Oh, Yuzhao Wang, 2017, Forum of Mathematics, Sigma.

A blowup result for the periodic NLS without gauge invariance

Tadahiro Oh, Tadahiro Oh, 2012 .

A remark on triviality for the two-dimensional stochastic nonlinear wave equation

Tadahiro Oh, Mamoru Okamoto, T. Robert, 2019, Stochastic Processes and their Applications.

Global dynamics for the stochastic KdV equation with white noise as initial data

J. Quastel, Philippe Sosoe, Tadahiro Oh, 2023, 2308.04576.

Solving the 4NLS with white noise initial data

N. Tzvetkov, Tadahiro Oh, Yuzhao Wang, 2019, Forum of Mathematics, Sigma.

Poincaré-Dulac Normal Form Reduction for Unconditional Well-Posedness of the Periodic Cubic NLS

Zihua Guo, Tadahiro Oh, Soonsik Kwon, 2013, Communications in Mathematical Physics.

Modulation spaces with scaling symmetry

'Arp'ad B'enyi, Tadahiro Oh, 2018, Applied and Computational Harmonic Analysis.

On the two-dimensional hyperbolic stochastic sine-Gordon equation

Philippe Sosoe, Tadahiro Oh, Yuzhao Wang, 2019, Stochastics and Partial Differential Equations: Analysis and Computations.

Interpolation of Gibbs measures with white noise for Hamiltonian PDE

J. Quastel, B. Valkó, Tadahiro Oh, 2010, 1005.3957.

Invariance of the Gibbs Measure for the Schrödinger-Benjamin-Ono System

Tadahiro Oh, Tadahiro Oh, 2009, SIAM J. Math. Anal..

A remark on almost sure global well-posedness of the energy-critical defocusing nonlinear wave equations in the periodic setting

Tadahiro Oh, Oana Pocovnicu, 2015, 1508.00826.

Invariant Gibbs measures for the 2-$d$ defocusing nonlinear wave equations

Tadahiro Oh, Laurent Thomann, 2017, Annales de la Faculté des sciences de Toulouse : Mathématiques.

An optimal regularity result on the quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schr\"odinger equation

Philippe Sosoe, N. Tzvetkov, Tadahiro Oh, 2017, 1707.01666.

Quasi-invariant Gaussian measures for the two-dimensional defocusing cubic nonlinear wave equation

N. Tzvetkov, Tadahiro Oh, 2017, Journal of the European Mathematical Society.

On the transport of Gaussian measures under the flow of Hamiltonian PDEs

N. Tzvetkov, Tadahiro Oh, 2015 .

A remark on Gibbs measures with log-correlated Gaussian fields

Tadahiro Oh, L. Tolomeo, Kihoon Seong, 2020, 2012.06729.

On the two-dimensional hyperbolic stochastic sine-Gordon equation

Philippe Sosoe, Tadahiro Oh, Yuzhao Wang, 2019, Stochastics and Partial Differential Equations: Analysis and Computations.

A remark on randomization of a general function of negative regularity

Tadahiro Oh, Oana Pocovnicu, Mamoru Okamoto, 2023, 2309.16504.

A note on products of stochastic objects

Tadahiro Oh, Younes Zine, 2022, 2211.02938.

Comparing the stochastic nonlinear wave and heat equations: a case study

Tadahiro Oh, Mamoru Okamoto, 2019, Electronic Journal of Probability.